Shaded Area

Geometry Level 3

Assume that circle P is perfectly tengent and inscribed in square ABCD. If point G bisects line AC, point E bisects line AB, and point F bisects line BD. What is the area of the shaded area using pi= 3.1415. Round your answer to the nearest thousandth.


The answer is 142.925.

Yellow Tomato by Yellow Tomato , 17, USA

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2 solutions

Yellow Tomato
Oct 14, 2015

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Area Shaded = area of the square - area of the unshaded part

The unshaded part is a composite figure composed of an isosceles triangle and a semi-circle.

Area Shaded = area of the square - area of the semi circle - area of the isosceles triangle = 142.925

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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